What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Fawang Liu mainly investigates Mathematical analysis, Fractional calculus, Numerical analysis, Diffusion equation and Numerical stability.
He performs multidisciplinary study in Mathematical analysis and Stability in his work.
Fawang Liu has included themes like Time derivative, Dirichlet boundary condition, Finite element method, Space and Convection–diffusion equation in his Fractional calculus study.
His work in Space covers topics such as Domain which are related to areas like Representation.
His Diffusion equation research integrates issues from Discretization and Matrix.
Fawang Liu has researched Finite difference method in several fields, including Rate of convergence, Fractional Laplacian, Finite difference and Fokker–Planck equation.
His most cited work include:
- Numerical solution of the space fractional Fokker-Planck equation (568 citations)
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives (414 citations)
- Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation (406 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Mathematical analysis, Fractional calculus, Numerical analysis, Applied mathematics and Stability.
In most of his Mathematical analysis studies, his work intersects topics such as Diffusion equation.
The concepts of his Fractional calculus study are interwoven with issues in Anomalous diffusion, Time derivative, Finite element method, Discretization and Domain.
Fawang Liu usually deals with Numerical analysis and limits it to topics linked to Nonlinear system and Ordinary differential equation.
His work in Applied mathematics addresses issues such as Finite volume method, which are connected to fields such as Control volume and Finite volume method for one-dimensional steady state diffusion.
He focuses mostly in the field of Finite difference method, narrowing it down to matters related to Mechanics and, in some cases, Porous medium.
He most often published in these fields:
- Mathematical analysis (73.28%)
- Fractional calculus (56.86%)
- Numerical analysis (38.73%)
What were the highlights of his more recent work (between 2018-2021)?
- Applied mathematics (34.07%)
- Stability (30.64%)
- Fractional calculus (56.86%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Applied mathematics, Stability, Fractional calculus, Space and Numerical analysis.
His research integrates issues of Spectral method, Diffusion equation, Nonlinear system, Discretization and Finite difference method in his study of Applied mathematics.
His Fractional calculus research is within the category of Mathematical analysis.
His research on Mathematical analysis frequently connects to adjacent areas such as Unstructured mesh.
His Space research incorporates themes from Scheme, Partial differential equation, Alternating direction implicit method, Spacetime and Variable.
The Numerical analysis study combines topics in areas such as Time derivative and Riesz space.
Between 2018 and 2021, his most popular works were:
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains (49 citations)
- Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex domains (49 citations)
- Some second-order schemes combined with finite element method for nonlinear fractional cable equation (36 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Partial differential equation
Fawang Liu mostly deals with Stability, Applied mathematics, Fractional calculus, Space and Numerical analysis.
His Fractional calculus study deals with Discretization intersecting with Anomalous diffusion, Alternating direction implicit method, Galerkin method, Nonlinear system and Rate of convergence.
His research in Space intersects with topics in Strongly connected component, Partial differential equation and Transport phenomena.
His work carried out in the field of Numerical analysis brings together such families of science as Field, Finite difference method and Wave equation.
Scheme is a subfield of Mathematical analysis that he investigates.
Fawang Liu is interested in Exact solutions in general relativity, which is a field of Mathematical analysis.
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